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Finding the Third Proportional to 431,259 and 617,530.50

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Solution

The third proportional to 431,259 and 617,530.50 is: 884,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,259 : 617,530.50 = 617,530.50 : x
  2. Step 2: Convert to fraction form
    431,259/617,530.50 = 617,530.50/x
  3. Step 3: Cross multiply
    431,259x = 617,530.50 × 617,530.50
  4. Step 4: Simplify right side
    431,259x = 381,343,918,430.25
  5. Step 5: Solve for x
    x = 381,343,918,430.25/431,259
  6. Step 6: Final answer
    x = 884,257.30

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.